It is true that there is a resonance in the cutter, as there is in any cutter.
What you are probably not taking into account is there is a feedback module that imposes 30dB of feedback at all audio frequencies (in the case of the Westerex 1700 electronics; this value is similar in any cutter system used) that handles resonance quite handily (the cutter has a feedback winding for this purpose, which is also used to allow the engineer to monitor the cut in real time). The
electronics are also matched to the cutter to equalize out variance; the individual characteristic of the cutter is EQ'ed in the pre-emphasis module.
It would be as if the loudspeaker in your
emphasis added sentence were not only EQ'ed to flat but is also included in a 30dB feedback loop (independent of the feedback in the amplifier, which
also controls resonance in the load, being a voltage source)! The result is the cutter system is extremely neutral with the overall distortion very low (most of the 'distortion of the LP' actually arises in playback, not record, which means
the key to neutrality of this media is in the hands of the user, much more so that with digital (and IMO, is thus its primary weakness) since the cutter amps
never operate at more than even 10% of full power (unless in the act of a teachable situation where the cutter is being blown up by a stupid mistake

).
Quite literally
its the only recording method I've seen that can't be overloaded, unlike analog tape or any digital system. The thing that the engineer has to watch is to make sure that the cutter is cutting a groove that is trackable by the cartridge/arm combo, since
playback is the limitation in the system, while not overcutting into a prior part of the cut.